Postcritical sets and saddle basic sets for Axiom A polynomial skew products on C²

2012/02/28 by Shizuo Nakane, Nakane, Shizuo
Mathematics · #37D20 #37F15 #Dynamical Systems (math.DS) #FOS: Mathematics #math.DS #msc:37D20 #msc:37F15

paper · pdf · doi:10.48550/arxiv.1202.6099

26 pages, 5 figures

arxiv created 2012/02/28 · arxiv updated 2012/02/29

Abstract

Investigating the link between postcritical behaviors and the relations of saddle basic sets for Axiom A polynomial skew products on C², we characterize various properties concerning the three kinds of accumulation sets defined by DeMarco and Hruska in terms of the saddle basic sets. We also give a new example of higher degree.

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